Search a number
-
+
14402402240 = 265291738971
BaseRepresentation
bin11010110100111001…
…10011011111000000
31101011201122211200012
431122130303133000
5213444003332430
610341045244052
71016622253622
oct153234633700
941151584605
1014402402240
116120864a76
12295b403628
131486ab1a05
149a8b04c12
1559461d695
hex35a7337c0

14402402240 has 112 divisors (see below), whose sum is σ = 35687386080. Its totient is φ = 5529538560.

The previous prime is 14402402171. The next prime is 14402402243. The reversal of 14402402240 is 4220420441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14402402243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1600955 + ... + 1609925.

Almost surely, 214402402240 is an apocalyptic number.

14402402240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14402402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17843693040).

14402402240 is an abundant number, since it is smaller than the sum of its proper divisors (21284983840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14402402240 is a wasteful number, since it uses less digits than its factorization.

14402402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9190 (or 9180 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 14402402240 its reverse (4220420441), we get a palindrome (18622822681).

The spelling of 14402402240 in words is "fourteen billion, four hundred two million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 173 232 290 320 346 464 580 692 865 928 1160 1384 1730 1856 2320 2768 3460 4640 5017 5536 6920 8971 9280 10034 11072 13840 17942 20068 25085 27680 35884 40136 44855 50170 55360 71768 80272 89710 100340 143536 160544 179420 200680 260159 287072 321088 358840 401360 520318 574144 717680 802720 1040636 1300795 1435360 1551983 1605440 2081272 2601590 2870720 3103966 4162544 5203180 6207932 7759915 8325088 10406360 12415864 15519830 16650176 20812720 24831728 31039660 41625440 45007507 49663456 62079320 83250880 90015014 99326912 124158640 180030028 225037535 248317280 360060056 450075070 496634560 720120112 900150140 1440240224 1800300280 2880480448 3600600560 7201201120 14402402240